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Factorial Simplification

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \( \frac{(n+3)!}{n!}-\frac{(n+2)!}{(n-1)!}=270 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(n+4)!}{(n+2)!}=182 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of \( \frac{20!}{18!\cdot2!}-\frac{19!}{18!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(n+2)!}{(n-1)!}-\frac{(n+1)!}{(n-2)!}=216 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified form of \( \frac{(n+2)!}{(n-1)!}-\frac{(n+1)!}{(n-2)!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(n+1)!}{(n-1)!}-\frac{n!}{(n-2)!}=18 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified form of \( \frac{(n+1)!}{(n-1)!}-\frac{n!}{(n-2)!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsBy how much is \( \frac{9!}{7!} \) greater than \( \frac{8!}{6!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(2n)!}{(2n-3)!}=720 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhich is the correct expansion of \( \frac{(2n)!}{(2n-3)!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(3n)!}{(3n-2)!}=132 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(n+2)!}{(n-2)!}=1680 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified form of (n + 2)!/[(n − 2)! · n(n − 1)]?Class 11Permutations and CombinationsFactorial notationMedium MathematicsWhat is the simplified form of \( \frac{\frac{(n+3)!}{n!}}{n+3} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(n+4)!}{(n+2)!}+\frac{(n+3)!}{(n+1)!}=200 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of \( \frac{15!}{13!}-\frac{14!}{12!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of \( \frac{9!}{6!\cdot2!} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsIf \( \frac{(n+2)!}{n!}-\frac{(n+1)!}{(n-1)!}=18 \), what is the value of (n)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the value of \( \frac{18!}{16!\cdot2!} \times \frac{2}{17} \)?Class 11Permutations and CombinationsFactorial notationHard MathematicsWhat is the simplified form of \( \frac{(n+1)!}{(n-2)!} \)?Class 11Permutations and CombinationsFactorial notationHard